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Finding the Third Proportional to 460,699.50 and 1,006,503

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Solution

The third proportional to 460,699.50 and 1,006,503 is: 2,198,935.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,699.50 : 1,006,503 = 1,006,503 : x
  2. Step 2: Convert to fraction form
    460,699.50/1,006,503 = 1,006,503/x
  3. Step 3: Cross multiply
    460,699.50x = 1,006,503 × 1,006,503
  4. Step 4: Simplify right side
    460,699.50x = 1,013,048,289,009
  5. Step 5: Solve for x
    x = 1,013,048,289,009/460,699.50
  6. Step 6: Final answer
    x = 2,198,935.07

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.